Abstract
The well-posedness (existence and uniqueness of solutions) problem and the stabilization problem of switch-driven piecewise affine (PWA) systems with 2 binary switches are addressed. First, under some assumptions, a necessary and sufficient condition for the system to be well-posed is derived. Next, based on this result, an approach to find a dynamic state feedback controller for which the closed loop system is well-posed as well as globally asymptotically stable is proposed.
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